From 80 of its restaurants, Noodles & Company managers collected data on per-person sales and the percent of sales due to "potstickers" (a popular food item). Both numerical variables failed tests for normality, so they tried a chi-square test. Each variable was converted into ordinal categories (low, medium, high) using cutoff points that produced roughly equal group sizes. At a = .05, is per- person spending independent of percent of sales from potstickers? Yes O No Per-Person Spending Low Medium High Column Total Click here for the Excel Data File (a) The hypothesis for the given issue is Hg: Percentage of Sales and Per-Person Spending are independent. Test statistic Degrees of freedom p-value Low 17 9 4 30 Yes (b) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Round your test statistic value to 2 decimal places and p-value to 4 decimal places. Leave no cells blank - be certain to enter "0" wherever required.) (c) We reject the null and find dependence. O No Potsticker % of Sales Medium High 10 5 13 4 4 14 27 23 Row Total 32 26 22 80

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From 80 of its restaurants, Noodles & Company managers collected data on per-person sales and the percent of sales due to
"potstickers" (a popular food item). Both numerical variables failed tests for normality, so they tried a chi-square test. Each variable was
converted into ordinal categories (low, medium, high) using cutoff points that produced roughly equal group sizes. At a = .05, is per-
person spending independent of percent of sales from potstickers?
O Yes
O No
Per-Person Spending
Low
Medium
High
Column Total
Low
17
9
4
30
Test statistic
Degrees of freedom
p-value
O Yes
O NO
Potsticker % of Sales
Medium
10
13.
4
Click here for the Excel Data File
(a) The hypothesis for the given issue is Hg: Percentage of Sales and Per-Person Spending are independent.
(c) We reject the null and find dependence.
27
High
5
4
14
23
(b) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Round your test statistic value to 2 decimal places
and p-value to 4 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)
Row Total
32
26
22
80
Transcribed Image Text:From 80 of its restaurants, Noodles & Company managers collected data on per-person sales and the percent of sales due to "potstickers" (a popular food item). Both numerical variables failed tests for normality, so they tried a chi-square test. Each variable was converted into ordinal categories (low, medium, high) using cutoff points that produced roughly equal group sizes. At a = .05, is per- person spending independent of percent of sales from potstickers? O Yes O No Per-Person Spending Low Medium High Column Total Low 17 9 4 30 Test statistic Degrees of freedom p-value O Yes O NO Potsticker % of Sales Medium 10 13. 4 Click here for the Excel Data File (a) The hypothesis for the given issue is Hg: Percentage of Sales and Per-Person Spending are independent. (c) We reject the null and find dependence. 27 High 5 4 14 23 (b) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Round your test statistic value to 2 decimal places and p-value to 4 decimal places. Leave no cells blank - be certain to enter "0" wherever required.) Row Total 32 26 22 80
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